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Finding the Third Proportional to 146,836 and 223,330

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Solution

The third proportional to 146,836 and 223,330 is: 339,673.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,836 : 223,330 = 223,330 : x
  2. Step 2: Convert to fraction form
    146,836/223,330 = 223,330/x
  3. Step 3: Cross multiply
    146,836x = 223,330 × 223,330
  4. Step 4: Simplify right side
    146,836x = 49,876,288,900
  5. Step 5: Solve for x
    x = 49,876,288,900/146,836
  6. Step 6: Final answer
    x = 339,673.44

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.